-\dfrac{2}3p+\dfrac{1}5-1+\dfrac{5}6p

Answer 1

To combine like terms in this expression, we first need to simplify the terms that involve the variable p.

Starting with the terms involving p:
We have -\dfrac{2}{3}p + \dfrac{5}{6}p. To combine them, we need to find a common denominator for \dfrac{2}{3} and \dfrac{5}{6}, which is 6.
So, -\dfrac{2}{3}p + \dfrac{5}{6}p = -\dfrac{4}{6}p + \dfrac{5}{6}p = \dfrac{1}{6}p.

Now, we have:

\dfrac{1}{5} - 1 + \dfrac{1}{6}p

Combine the remaining terms:

\dfrac{1}{5} - 1 = \dfrac{1}{5} - \dfrac{5}{5} = -\dfrac{4}{5}

Therefore, the simplified expression is:

-\dfrac{4}{5} + \dfrac{1}{6}p